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Find the derivative of the following functions ( it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers ) $(ax^2+\sin x) (p+q \: \cos x)$

1 Answer

Let $f(x) = (ax^2+\sin x) (p+q \: \cos x)$
By product rule
$f'(x) =(ax^2+\sin x)\large\frac{d}{dx}$$(p+q \cos x)+(p+q \cos x)\large\frac{d}{dx}$$(ax^2+\sin x)$
$ = (ax^2+\sin x)( -q\: \sin x)+(p+q \cos x)(2ax+ \cos x)$
$ = -q\sin x(ax^2+\sin x)+(p+q \cos x)(2ax+ \cos x)$
answered Apr 14, 2014 by thanvigandhi_1

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